Prepare for the Geometry CBE Exam with targeted resources. Access interactive quizzes and detailed explanations to master geometric concepts effectively and excel in your test!

Multiple Choice

If two triangles have congruent corresponding sides and angles, what is their relationship?

Congruence means two triangles have exactly the same size and shape, so every corresponding side and every corresponding angle matches in measure. If two triangles have corresponding sides equal in length and corresponding angles equal in measure, you can place one on top of the other and they line up perfectly. That exact matching of all parts is what makes them congruent. This is stronger than similarity, which only requires equal angles and proportional (not necessarily equal) sides; here the scale factor is 1, so the triangles are congruent.

Congruence means two triangles have exactly the same size and shape, so every corresponding side and every corresponding angle matches in measure. If two triangles have corresponding sides equal in length and corresponding angles equal in measure, you can place one on top of the other and they line up perfectly. That exact matching of all parts is what makes them congruent. This is stronger than similarity, which only requires equal angles and proportional (not necessarily equal) sides; here the scale factor is 1, so the triangles are congruent.